What is partial product of 429<br> X 35?

1. an alloy contains zinc and copper in the ratio of 7:9 find weight of copper of it had 31.5 kgs of zinc.

m_a_m_a [10]

Answer:

Step-by-step explanation:

Question (1). An alloy contains zinc and copper in the ratio of 7 : 9.

If the weight of an alloy = x kgs

Then weight of copper = $\frac{9}{7+9}\times (x)$

= $\frac{9}{16}\times (x)$

And the weight of zinc = $\frac{7}{7+9}\times (x)$

= $\frac{7}{16}\times (x)$

If the weight of zinc = 31.5 kg

31.5 = $\frac{7}{16}\times (x)$

x = $\frac{16\times 31.5}{7}$

x = 72 kgs

Therefore, weight of copper = $\frac{9}{16}\times (72)$

= 40.5 kgs

2). i). 2 : 3 = $\frac{2}{3}$

4 : 5 = $\frac{4}{5}$

Now we will equalize the denominators of each fraction to compare the ratios.

$\frac{2}{3}\times \frac{5}{5}$ = $\frac{10}{15}$

$\frac{4}{5}\times \frac{3}{3}=\frac{12}{15}$

Since, $\frac{12}{15}>\frac{10}{15}$

Therefore, 4 : 5 > 2 : 3

ii). 11 : 19 = $\frac{11}{19}$

19 : 21 = $\frac{19}{21}$

By equalizing denominators of the given fractions,

$\frac{11}{19}\times \frac{21}{21}=\frac{231}{399}$

And $\frac{19}{21}\times \frac{19}{19}=\frac{361}{399}$

Since, $\frac{361}{399}>\frac{231}{399}$

Therefore, 19 : 21 > 11 : 19

iii). $\frac{1}{2}:\frac{1}{3}=\frac{1}{2}\times \frac{3}{1}$

$=\frac{3}{2}$

$\frac{1}{3}:\frac{1}{4}=\frac{1}{3}\times \frac{4}{1}$

= $\frac{4}{3}$

Now we equalize the denominators of the fractions,

$\frac{3}{2}\times \frac{3}{3}=\frac{9}{6}$

And $\frac{4}{3}\times \frac{2}{2}=\frac{8}{6}$

Since $\frac{9}{6}>\frac{8}{6}$

Therefore, $\frac{1}{2}:\frac{1}{3}>\frac{1}{3}:\frac{1}{4}$ will be the answer.

IV). $1\frac{1}{5}:1\frac{1}{3}=\frac{6}{5}:\frac{4}{3}$

$=\frac{6}{5}\times \frac{3}{4}$

$=\frac{18}{20}$

$=\frac{9}{10}$

Similarly, $\frac{2}{5}:\frac{3}{2}=\frac{2}{5}\times \frac{2}{3}$

$=\frac{4}{15}$

By equalizing the denominators,

$\frac{9}{10}\times \frac{30}{30}=\frac{270}{300}$

Similarly, $\frac{4}{15}\times \frac{20}{20}=\frac{80}{300}$

Since $\frac{270}{300}>\frac{80}{300}$

Therefore, $1\frac{1}{5}:1\frac{1}{3}>\frac{2}{5}:\frac{3}{2}$

V). If a : b = 6 : 5

$\frac{a}{b}=\frac{6}{5}$

$=\frac{6}{5}\times \frac{2}{2}$

$=\frac{12}{10}$

And b : c = 10 : 9

$\frac{b}{c}=\frac{10}{9}$

Since a : b = 12 : 10

And b : c = 10 : 9

Since b = 10 is common in both the ratios,

Therefore, combined form of the ratios will be,

a : b : c = 12 : 10 : 9

7 0

3 years ago

What is the fraction of 00.1

iren2701 [21]

00.1

1 divided by 10

1/10

one tenth

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tom had a very challenging fraction multiplycation problem to do, but his sister said it was really easy to do mentally. can you

krok68 [10]

Answer:

76/81×80

76=80/81

Step-by-step explanation:

6 0

3 years ago

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Sarah graphed the function. y =-1/2x+4 if the domain is restricted to this on the photo what’s the answer I pick

Alex787 [66]

Answer:

Option (4)

Step-by-step explanation:

Domain of a function is defined by the x-values or input values of the function.

Similarly, Range of a function is defined by the y-values of output values for the corresponding input values.

From the graph attached,

Domain is restricted to 0 ≤ x ≤ 8.

Therefore, Range will be 0 ≤ y ≤ 4.

Option (4) will be the answer.

6 0

3 years ago

Write an equation that represents the total cost for pop music bundles. Write another equations to represent the total cost for

Anestetic [448]

Answer:

Equation for the total cost for pop music bundles = $ 1200 x + 300

Where variable is the Cost.

Equation for the total cost for rock music bundles = $ 950 x + 250

Where variable is the Cost.

Step-by-step explanation:

P.S - The exact question is -

Given - The Music Express is going to buy music bundles from a

company that is going out of business. The company

charges different amounts for bundles of pop and rock

music:

Cost for each pop music bundle is $1200

Cost for each rock music bundle is $950

One - time fee for rights to the pop music is $300

One - time fee for rights to the rock music is $250.

To find - Write an equation that represents the total cost for pop

music bundles.

Write another equations to represent the total cost for rock

music bundles.

Identify the variables in the equations.

Proof -

Given that,

Cost for each pop music bundle is $1200.

Cost for each rock music bundle is $950.

One - time fee for rights to the pop music is $300.

One - time fee for rights to the rock music is $250.

Let the total music bundles buy = x

Now,

Given, Cost for 1 pop music bundle = $1200

⇒Cost for x pop music bundles = $ 1200 x

Also given,

One - time fee for rights to the pop music is $300.

∴ we get

Equation for the total cost for pop music bundles = $ 1200 x + 300

Where variable is the Cost.

Now,

Given, Cost for 1 rock music bundle = $950

⇒Cost for x pop music bundles = $ 950 x

Also given,

One - time fee for rights to the pop music is $250.

∴ we get

Equation for the total cost for rock music bundles = $ 950 x + 250

Where variable is the Cost.

5 0

3 years ago

What is partial product of 429 X 35?